identify the following using the graph. period: frequency: frequency factor: $b = $ done
identify the following using the graph. period: frequency: frequency factor: $b = $ done
Answer
Explanation:
Step1: Define period
The period is the length of one complete cycle of the wave. From the graph, we can see that one - complete cycle occurs from (x = 0) to (x=\pi). So the period (T=\pi).
Step2: Calculate frequency
The frequency (f) is the reciprocal of the period. The formula is (f=\frac{1}{T}). Since (T = \pi), then (f=\frac{1}{\pi}).
Step3: Find frequency factor
The general form of a sinusoidal function is (y = A\sin(bx - c)+d) or (y=A\cos(bx - c)+d), and the relationship between the period (T) and the frequency - factor (b) is (T=\frac{2\pi}{b}). We know (T = \pi), so (\pi=\frac{2\pi}{b}). Solving for (b) gives (b = 2).
Answer:
Period: (\pi) Frequency: (\frac{1}{\pi}) Frequency factor: (b = 2)